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Express the polar equation r-2costheta i...

Express the polar equation `r-2costheta` in rectangular coordinates.

Text Solution

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We use the formulas `r^2=x^2+y^2` and `x=rcostheta`. ltbr Given `r=2costheta`. Therefore,
`r^2=2rcostheta`
or `x^2+y^2=2x`
or `x^2x+y^2=0`
or `x^2-2x+1+y^2=1`
or `(x-1)^2+y^2=1`.
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